Question

prove that sinA+cosecA/sinA=2+cot^A

Answer 1

Hi ,

Here I am using A instead of theta.
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We know that ,

1) cosecA = 1/sinA

2 ) 1 + cot² A = cosec² A

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LHS = ( sin A + cosecA ) / sinA

= ( SinA / sinA ) + ( cosecA/sinA )

= 1 + cosecA × cosecA

= 1 + cosec² A

= 1 + 1 + cot² A

= 2 + cot² A

= RHS

I hope this helps you.

:)